Search a number
-
+
712969992 = 233372314153
BaseRepresentation
bin101010011111110…
…000111100001000
31211200120121222000
4222133300330020
52430010014432
6154425231000
723445100500
oct5237607410
91750517860
10712969992
113364a89a9
1217a932460
13b4930a47
146a992a00
15428d557c
hex2a7f0f08

712969992 has 384 divisors, whose sum is σ = 2482099200. Its totient is φ = 188697600.

The previous prime is 712969991. The next prime is 712970029. The reversal of 712969992 is 299969217.

712969992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712969991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13452238 + ... + 13452290.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2712969992 is an apocalyptic number.

712969992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712969992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

712969992 is an abundant number, since it is smaller than the sum of its proper divisors (1769129208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

712969992 is a wasteful number, since it uses less digits than its factorization.

712969992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The square root of 712969992 is about 26701.4979355092. The cubic root of 712969992 is about 893.3543376413.

The spelling of 712969992 in words is "seven hundred twelve million, nine hundred sixty-nine thousand, nine hundred ninety-two".